Greatest Common Factor of 5930/73, 1396/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5930/73, 1396/737

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5930/73,1396/737

Given fractions are 5930/73,1396/737

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5930,1396

Greatest Common Factor of Numerators i.e. GCF of 5930,1396 is 2 .

LCM of Denominators means LCM of 73,737 as per the given fractions.

LCM of 73,737 is 53801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5930,1396

GCF of Fractions 5930/73,1396/737 is 2/53801

2 5930, 1396
2965, 698

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5930,1396 By Matching Biggest Common Factor Method

Greatest Common Factor of 5930,1396 By Matching Biggest Common Factor Method

Factors of 5930

List of positive integer factors of 5930 that divides 5930 without a remainder.

1,2,5,10,593,1186,2965,5930

Factors of 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1,2,4,349,698,1396

Greatest Common Factor

We found the factors 5930,1396 . The biggest common factor number is the GCF number.
So the greatest common factor 5930,1396 is 2.


Lets's calculate LCM of 73,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 53801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53801

Therefore, the GCF of Fractions 5930/73,1396/737 is 2/53801

Least Common Multiple of 73,737 with GCF Formula

Least Common Multiple of 73,737 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,737) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,737) x common factors =1 x 1 = 1

LCM(73,737) = ( 73 × 737 ) / 1

LCM(73,737) = 53801 / 1

LCM(73,737) = 53801


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5930/73, 1396/737

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5930/73, 1396/737?

Answer: GCF of Numerators as per given numbers 5930/73, 1396/737 is

GCF of Numerators i.e. for 5930,1396 is 2

LCM of denominators i.e. for 73,737 is 53801.

Thus, GCF of Fractions is 2/53801.Finally, GCF of Fractions for 5930/73, 1396/737 is 2/53801.